What is the Least Common Multiple of 34114 and 34129?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 34114 and 34129 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34114 and 34129, than apply into the LCM equation.

GCF(34114,34129) = 1
LCM(34114,34129) = ( 34114 × 34129) / 1
LCM(34114,34129) = 1164276706 / 1
LCM(34114,34129) = 1164276706

Least Common Multiple (LCM) of 34114 and 34129 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34114 and 34129. First we will calculate the prime factors of 34114 and 34129.

Prime Factorization of 34114

Prime Factorization of 34129

Now multiplying the highest exponent prime factors to calculate the LCM of 34114 and 34129.

LCM(34114,34129) = 2¹ × 37¹ × 461¹ × 34129¹
LCM(34114,34129) = 1164276706